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Finding the Fourth Proportional to 3,486.16, 5,227.62 and 1,842.27

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Solution

The fourth proportional to 3,486.16, 5,227.62 and 1,842.27 is: 2,762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.16 : 5,227.62 = 1,842.27 : x
  2. Step 2: Convert to fraction form
    3,486.16/5,227.62 = 1,842.27/x
  3. Step 3: Cross multiply
    3,486.16x = 5,227.62 × 1,842.27
  4. Step 4: Simplify right side
    3,486.16x = 9,630,687.50
  5. Step 5: Solve for x
    x = 9,630,687.50/3,486.16
  6. Step 6: Final answer
    x = 2,762.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.